Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Textbook Question
Chapter 13, Problem 13.26E
Determine the point groups of the following molecules. (a) Hydrogen peroxide,
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Draw the shape of the PF5 molecule and answer the following questions:
Does the molecule have σh mirror plane(s)? If so, how many?
(v) Does the molecule have σv mirror plane(s)? If so, how many?
(vi) Does the molecule have σd mirror plane(s)? If so, how many?
(vii) What is the point group of the PF5 molecule?
(viii) WhatistheorderofthepointgroupofthePF5molecule?
(ix) Using symmetry criteria, predict
if the PF5 molecule is polar or non-polar.
(x) Using symmetry criteria, predict if the PF5 molecule is chiral or non-chiral.
Consider the three following molecules and answer the questions below.HC≡CHH2C=CH2H3C-CH3 (3 conformers with different symmetry)(a) For each molecule, including all conformers as indicated, draw the molecule, assign it toits point group, and draw on the diagram the symmetry elements that were used to makethe assignment. State in each case whether or not the species is dipolar and/or chiral.(b) If one hydrogen atom in each molecule is substituted by a chlorine atom, sketch the newmolecules and assign them to their point group. For this set of mono-chloro compounds: state the most common point group state how many are chiral state how many are dipolar state which molecule/conformer has the highest symmetry point group state which molecule/conformer has the lowest symmetry point group identify which of these molecules/conformers have three different H atomenvironments(c) For the dichlorinated versions of the molecules/conformers considered in part (a): state the most common point…
Neopentane, C(CH3)4, has Tď symmetry, with character table provided below. Suppose the
characters of a reducible representation of this point group are x(E) = 17, x(C3) = 2, x(C₂) = 5,
x(S4) = -3, and x(od) = -5 (this is shown explicitly in the last row of the character table).
(a) Use the T₁ irreducible representation to determine the order of the point group using
the Little Orthogonality Theorem (Vallance Eq. 1.15.13, see Problem 3).
(b) Determine how many times each irreducible representation in Ta is contained in this
reducible representation.
Td
A₁
A₂
E
Τ1
T₂
r
E
1
1
2
3
3
17
8C3
1
1
-1
1 0 0 2
3C₂
1
1
2
-1
6S4
1
-1
1 101 1.5
7 0 1 713
7. 1.5
-1
-1
60d
-3
-1
-1
-5
Chapter 13 Solutions
Physical Chemistry
Ch. 13 - In your own words, explain why an object that has...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Prob. 13.4ECh. 13 - Prob. 13.5ECh. 13 - Prob. 13.6ECh. 13 - Prob. 13.7ECh. 13 - Prob. 13.8ECh. 13 - Any axis of symmetry Cn that rotates an object by...Ch. 13 - Prob. 13.10E
Ch. 13 - Prob. 13.11ECh. 13 - Prob. 13.12ECh. 13 - Prob. 13.13ECh. 13 - What are the number of classes and the order of...Ch. 13 - Prob. 13.15ECh. 13 - a Show that the C3v point group satisfies the...Ch. 13 - a In the Td point group, an S41 improper rotation...Ch. 13 - Determine which single symmetry operation of the...Ch. 13 - Prob. 13.19ECh. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Figure 13.27 shows the structure of the molecule...Ch. 13 - Prob. 13.23ECh. 13 - Identify all the symmetry elements present in the...Ch. 13 - Point groups are called such because all of the...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point group of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Prob. 13.32ECh. 13 - Identify the point group of the wave functions of...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - Prob. 13.35ECh. 13 - Determine if the following species have permanent...Ch. 13 - Determine if the following species have permanent...Ch. 13 - Which of the following species will not have...Ch. 13 - Prob. 13.39ECh. 13 - Explain why a molecule with a center of inversion...Ch. 13 - a Unlike methane, bromochlorofluoromethane...Ch. 13 - Prob. 13.42ECh. 13 - Prob. 13.43ECh. 13 - Prob. 13.44ECh. 13 - Show that the irreducible representations of the...Ch. 13 - Show that any two of the irreducible...Ch. 13 - Show that any irreducible representation of these...Ch. 13 - Explain why this proposed irreducible...Ch. 13 - Prob. 13.49ECh. 13 - Prob. 13.50ECh. 13 - Why is it unnecessary to consider whether an...Ch. 13 - Prob. 13.52ECh. 13 - Prob. 13.53ECh. 13 - Prob. 13.54ECh. 13 - Prob. 13.55ECh. 13 - Prob. 13.56ECh. 13 - Prob. 13.57ECh. 13 - Prob. 13.58ECh. 13 - Reduce the following reducible representations...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Prob. 13.61ECh. 13 - Without using the great orthogonality theorem,...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Prob. 13.64ECh. 13 - Assume that x- polarized light can be assigned an...Ch. 13 - Prob. 13.66ECh. 13 - Prob. 13.67ECh. 13 - Prob. 13.68ECh. 13 - Prob. 13.69ECh. 13 - Prob. 13.70ECh. 13 - Construct the symmetry-adapted linear combination...Ch. 13 - Prob. 13.72ECh. 13 - Prob. 13.73ECh. 13 - Prob. 13.74ECh. 13 - Prob. 13.75ECh. 13 - Prob. 13.76ECh. 13 - Prob. 13.77ECh. 13 - Suppose you use p0,p1 and p+1 along with s...Ch. 13 - Show that the individual sp orbitals, as written...Ch. 13 - Prob. 13.80ECh. 13 - What is the rough hybridization of the carbon...Ch. 13 - Determine the symmetry species of the D3h point...Ch. 13 - Determine the D3h symmetry species of the sp3d...Ch. 13 - Prob. 13.84ECh. 13 - In propene CH3CH=CH2, the first carbon has sp3...Ch. 13 - Prob. 13.87ECh. 13 - Prob. 13.88ECh. 13 - Prob. 13.89E
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